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Geometry
What is the value of b ?
5 months ago
Q:
What is the value of b ?
Accepted Solution
A:
Answer:24Step-by-step explanation:In triangle STU, line VT bisects angle STU.-> By angle bisector theorem:[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]